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3 years ago

Find the median and mean of the data set below :

Mathematics

2 answers:

BigorU [14]3 years ago

7 0

Median:15 1,11,14,15,31,37,47
Mean:22 (1+11+14+15+31+37+47)/7=22

Ahat [919]3 years ago

6 0

Answer:

Median = 15

Mean = 22

Step-by-step explanation:

Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median

1, 11, 14, 15, 31, 35, 47

the middle number is 15

so 15 will be our median

Mean = $\frac{sum of all numbers }{total numbers\\}$ sum of all numbers divided by the number of values in the set

$\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}$

= $\frac{154}{7}$

= 22

so our mean will be 22

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Answer:

5) DE = 7 units and DF = 4 units

6) ST = 8 units

$\textsf{7)} \quad \sf OM=\dfrac{3}{2}\:units$

8) x ≤ -3 and x ≥ 3

Step-by-step explanation:

<u>Information from Parts 1-4:</u>

brainly.com/question/28193969

$f(x)=-x+3$

$g(x)=x^2-9$

A = (3, 0) and C = (-3, 0)

Points A and D are the <u>points of intersection</u> of the two functions.

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$\implies (x+4)=0 \implies x=-4$

From inspection of the graph, we can see that the x-value of point D is <u>negative</u>, therefore the x-value of point D is x = -4.

To find the y-value of point D, substitute the found value of x into one of the functions:

$\implies f(-4)=-(-4)=7$

Therefore, D = (-4, 7).

The length of DE is the difference between the y-value of D and the x-axis:

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The length of DF is the difference between the x-value of D and the x-axis:

⇒ DF = 4 units

To find point S, substitute the x-value of point T into function g(x):

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Therefore, S = (4, 7).

The length ST is the difference between the y-values of points S and T:

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Therefore, ST = 8 units.

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$\implies f(x)-g(x)=QR$

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$\implies -x+3-x^2+9=\dfrac{45}{4}$

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$\implies -4\left(-x^2-x+\dfrac{3}{4}\right)=-4(0)$

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Therefore, OM = ³/₂ units.

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Therefore, g(x) ≥ 0 when x ≤ -3 and x ≥ 3.

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Find the median and mean of the data set below :​

Find the median and mean of the data set below :